Mathematical Formula For Calculating Percentage Increase
\[ \text{Percentage Increase} = \frac{\text{New Value} – \text{Initial Value}}{\text{Initial Value}} \times 100 \]
Example Broken Down With Steps
$$
\text{Given: Initial Value = 150, New Value = 200}
$$
$$
\text{Step 1: Subtract 150 from 200: } 200 – 150 = 50
$$
$$
\text{Step 2: Divide 50 by 150: } \frac{50}{150} = 0.3333
$$
$$
\text{Step 3: Multiply 0.3333 by 100: } 0.3333 \times 100 = 33.33
$$
$$
\text{Result: Percentage increased by 33.33%.}
$$
Further Explained
Example: A plant grew from 150 cm to 200 cm.
Steps:
- Find the increase in value: Subtract the original height from the new height:
$$ 200 – 150 = 50 $$ - Divide the increase by the original height:
$$ \frac{50}{150} = 0.3333 $$ - Convert to a percentage: Multiply the result by 100:
$$ 0.3333 \times 100 = 33.33\% $$ - Conclusion: The plant grew by 33.33%.